Moulay-Tahar Benameur

(Lyon, France)

Equivariant index theory

Abstract

We shall explain how equivariant index theory can be described in the language of Non Commutative Geometry. As a main application, we shall give a unifying approach to many Lefschetz fixed point formulae.

Chapters

1. Review of the classical equivariant index theory.

2. The Lefschetz fixed point formulae.

3. Equivariant spectral triples in von Neumann algebras.

4. A local Lefschetz formula in type II Non Commutative Geometry.

5. Higher Lefschetz formulae for foliations.

Christine Lescop    Thierry Fack    Shiraz Minwalla    Raimar Wulkenhaar    Anamaría Font    Stefan Theisen

Updated 04/03/2005

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